Residential Energy Consumption (East) Data on residential energy consumption per capita (measured in million BTU) had a mean of 70.8 and a standard deviation of 7.3 for the states east of the Mississippi River. Assume that the distribution of residential energy use if approximately unimodal and symmetric. a. Between which two values would you expect to find about 68% of the per capita energy consumption rates? b. Between which two values would you expect to find about 95% of the per capita energy consumption rates? c. If an eastern state had a per capita residential energy consumption rate of 54 million BTU, would you consider this unusual? Explain. d. Indiana had a per capita residential energy consumption rate of 80.5 million BTU. Would you consider this unusually high? Explain.
Residential Energy Consumption (East) Data on residential energy consumption per capita (measured in million BTU) had a mean of 70.8 and a standard deviation of 7.3 for the states east of the Mississippi River. Assume that the distribution of residential energy use if approximately unimodal and symmetric. a. Between which two values would you expect to find about 68% of the per capita energy consumption rates? b. Between which two values would you expect to find about 95% of the per capita energy consumption rates? c. If an eastern state had a per capita residential energy consumption rate of 54 million BTU, would you consider this unusual? Explain. d. Indiana had a per capita residential energy consumption rate of 80.5 million BTU. Would you consider this unusually high? Explain.
Solution Summary: The author states the range of values within which 68% of the data for per capita energy consumption lies.
Residential Energy Consumption (East) Data on residential energy consumption per capita (measured in million BTU) had a mean of 70.8 and a standard deviation of 7.3 for the states east of the Mississippi River. Assume that the distribution of residential energy use if approximately unimodal and symmetric.
a. Between which two values would you expect to find about 68% of the per capita energy consumption rates?
b. Between which two values would you expect to find about 95% of the per capita energy consumption rates?
c. If an eastern state had a per capita residential energy consumption rate of 54 million BTU, would you consider this unusual? Explain.
d. Indiana had a per capita residential energy consumption rate of 80.5 million BTU. Would you consider this unusually high? Explain.
6. Show that
1{AU B} = max{1{A}, I{B}} = I{A} + I{B} - I{A} I{B};
I{AB} = min{I{A}, I{B}} = I{A} I{B};
I{A A B} = I{A} + I{B}-21{A} I {B} = (I{A} - I{B})².
Theorem 3.5 Suppose that P and Q are probability measures defined on the same
probability space (2, F), and that F is generated by a л-system A. If P(A) = Q(A)
for all A = A, then P = Q, i.e., P(A) = Q(A) for all A = F.
6. Show that, for any random variable, X, and a > 0,
Lo P(x
-00
P(x < x
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.